Finding the Third Proportional to 17,736 and 27,476

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 27,476 = 27,476 : x
2. Step 2: Convert to fraction form
   17,736/27,476 = 27,476/x
3. Step 3: Cross multiply
   17,736x = 27,476 × 27,476
4. Step 4: Simplify right side
   17,736x = 754,930,576
5. Step 5: Solve for x
   x = 754,930,576/17,736
6. Step 6: Final answer
   x = 42,564.87